MATH 127A – Elementary Algegra I Summer 2010 Student Learning Outcomes: Upon completion of the course, the successful student will be able to: 1. Simplify expressions involving real numbers, at the beginning algebra level. 2. Factor polynomials, at the beginning algebra level. 3. Solve equations in one variable, at the beginning algebra level. 4. Graph, solve, and interpret linear equations. 5. Model and solve real world applications. Student Performance Objectives: 1.a. Simplify numerical expressions using the order of operations. 1.b. Simplify expressions involving integer exponents. 1.c. Perform operations with polynomials. 1.d. Simplify rational expressions. 1.e. Simplify radical expressions. 2.a. Factor out the GCF. 2.b. Factor trinomials. 2.c. Factor a difference of two squares. 2.d. Factor by grouping pairs. 3.a. Solve linear equations. 3.b. Solve linear inequalities. 3.c. Solve quadratic equations by factoring. 3.d. Solve rational equations. 3.e. Solve square root equations. 4.a. Graph linear equations in two variables. 4.b. Graph linear inequalities in two variables. 4.c. Find equations of lines given information about the slope and/or points on the line. 4.d. Solve systems of linear equations in two variables. 5.a. Solve applications involving linear equations in one and two variables. 5.b. Solve applications involving quadratic equations. 5.c. Solve applications involving systems of equations. 5.d. Solve applications involving the rational equations. SLO: Math 127A 10/30/09 Page - 1 Course Content Outline: Real Numbers: Add, Subtract, Multiply and Divide Order of Operations Properties of real numbers Simplify radicals Linear Equations and Inequalities in One Variable: Simplifying expressions Solving linear equations Solving linear inequalities Graphing inequality solutions on the number line Applications Linear Equations in Two Variables Graphing: x- and y-intercepts, and their interpretation Slope and its interpretation Slopes of parallel and perpendicular lines Finding equations of lines Slope-intercept form Point-slope form Standard form Horizontal & Vertical Lines Applications Solving Systems of Linear Equations in Two Variables: Graphing Substitution Elimination Applications SLO: Math 127A 10/30/09 Page - 2